## 3 Box's in row Cancelation

Post the puzzle or solving technique that's causing you trouble and someone will help

### 3 Box's in row Cancelation

I have 3 boxes in the same row, in the same house

1269 | 689 | 238

I got 2 2's

I got 2 6's

I got 2 8's

They make a "loop", and I wasn't 100% if that meant I can erase the 2, 6 and 8's from the rest of the row (note, there is no 2, 6 or 8's in the house, just the ones shown) but I have plenty to erase in the row.
RyanStorm

Posts: 32
Joined: 04 May 2014

### Re: 3 Box's in row Cancelation

Wait a sec, everything is already erased in the row and house....meaning I want to remove the 1 and 9 from the first box, the 9 from the middle one, and the 3 from the far right one.

I am 99% convinced I can.
RyanStorm

Posts: 32
Joined: 04 May 2014

### Re: 3 Box's in row Cancelation

RyanStorm wrote:Wait a sec, everything is already erased in the row and house....meaning I want to remove the 1 and 9 from the first box, the 9 from the middle one, and the 3 from the far right one.
I am 99% convinced I can.

Yes, you can. And it doesn't depend on the cells being in the same row.
If "there is no 2, 6 or 8's in the house" (block), you have a Hidden Triplet in this block. You can erase any other number from the 3 cells.
Proof: as the 3 numbers must be somewhere in the block, in different cells, and there are only 3 places for them, they must occupy those 3 cells, which leaves no place for any other number in them.
denis_berthier
2010 Supporter

Posts: 1261
Joined: 19 June 2007
Location: Paris

### Re: 3 Box's in row Cancelation

On the other hand, if 2, 6, or 8 appears in any other cell in the same house/block, then you can't do anything.

JasonLion
2017 Supporter

Posts: 640
Joined: 25 October 2007
Location: Silver Spring, MD, USA